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bearhunter [10]
3 years ago
8

Find the coordinates of the midpoint for line segment JK if J(-9, 5) and K(21.-7)

Mathematics
1 answer:
Trava [24]3 years ago
8 0

Answer:

(6, -1)

Step-by-step explanation:

The coordinates of the midpoint of a line is [(x₁ + x₂)/2, (y₁ + y₂)/2]. For the given line, JK where J = (-9, 5) = (x₁, y₁) and K = (21,-7) = (x₂, y₂).

So [(x₁ + x₂)/2, (y₁ + y₂)/2]

= [(-9 + 21)/2, (5 + (-7))/2]

= [12/2, (5 - 7)/2]

= [12/2, -2/2]

= (6, -1)

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75,000 divided by 150, is 500, meaning they allow 500 people per acre. 500 times 145 is 72,500, meaning the capacity for a park your size should be 72,500 people.
3 0
3 years ago
Which equation represents the line that passes through points (1, -5) and (3,-17)
zvonat [6]

Answer:

A) y=-6x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-17-(-5))/(3-1)

m=(-17+5)/2

m=-12/2

m=-6

y-y1=m(x-x1)

y-(-5)=-6(x-1)

y+5=-6(x-1)

y=-6x+6-5

y=-6x+1

8 0
3 years ago
how many pounds of rock will you need to fill an area 25 ft by 35 ft to a depth of 2 in. If the rock weighs 1050 lb cubic yard?
Eduardwww [97]

The volume of the area is Length x width x height:

25 x 35 x 2/12 = 145.83 cubic feet.

1 cubic foot = 0.037 cubic yards:

145.83 x 0.037 = 5.40 cubic yards.

5.4 cubic yards x 1050 lbs/ cubic yard = 5,665.6 pounds.

Note:

Rounding and conversion may change the answer slightly, but I believe I rounded everything as it should be.

6 0
3 years ago
Find the distance between the points with polar coordinates (3, 120°) and (0.5, 49°)
nikklg [1K]
X 1 = 3 * cos 120° = - 3 cos 60° = - 3/2 = - 1.5
y 1 = 3 * sin 120° = 3 sin 60° = 3√3 / 2 = 2.598
x 2 = 0.5 * cos 49° = 0.328
y 2 = 0.5 * sin 49° = 0.37735479
--------------------------------------------
d = [( x 2 - x 1 )² + ( y 2 - y 1 )²]^(1/2)
d = [ ( 0.328 + 1.5 )² + ( 0.37735479 - 2.598) ] ^(1/2)
d = ( 3.341584 +4.931265 )^(1/2)
Answer: The distance is :
d = 2.876256
 
3 0
3 years ago
6+8(y-3/5), if y=8/9
Alexeev081 [22]

Answer:

<em>8 14/45</em>

Step-by-step explanation:

First, place 8/9 anywhere there is a y:

6+8(8/9-3/5)

Next, do what is in the parenthesis. Make both fractions have the same denominator.

6+8(40/45-27/45)

And now subtract:

6+8(13/45)

Now, multiply 8 and 13/45:

6+ 104/45

Convert the fraction to a mixed fraction:

2 14/45

Finally, add 6:

8 14/45

<h3>Hopefully I helped :)</h3>
8 0
3 years ago
Read 2 more answers
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